Dynamics and Stability of Equilibrium
Code
9677
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Engenharia Civil
Credits
6.0
Teacher in charge
João Carlos Gomes Rocha de Almeida
Weekly hours
1
Teaching language
Português
Objectives
- To provide students with the ability to conduct studies on stability or advanced topics in structural dynamics.
- To introduce dynamic concepts in stability studies.
- To deal with random vibration phenomena and analyses in the frequency domain.
Subject matter
- Stability of equilibrium. Bifurcation and snap-through.
- Static and dynamic stability criteria. Parametric resonance.
- Applications to structural systems: beams, frames, arches and shells. Extension of modeling for nonlinear behavior and small deformations.
- Dynamic response in the frequency domain. Wave propagation in finite and infinite media.
- Computational modeling of structural systems. Stochastic processes. Correlation functions and power spectral density. Stationary and non-stationary excitations. Evaluation of the response of discrete systems with 1 and N degrees of freedom.
Bibliography
S.P. Timoshenko, J.M. Gere - "Theory of Elastic Stability" (2nd Edition), McGraw-Hill, 1963.
A. Reis, D. Camotim - "Estabilidade e Dimensionamento de Estruturas", Edições Orion, 2012.
D. E. Newland, An Introduction to Random Vibrations and Spectral Analysis, Longman Group, 1975.
L. Meirovitch, Dynamics and Control of Structures, Wiley-Interscience, 1990.
A. Preumont, Random Vibration and Spectral Analysis (Solid Mechanics and its Applications), Kluwer Academic Publishers, Springer, 1994.
J. M. T. Thompson, G. W. Hunt, A General Theory of Elastic Stability, Wiley, London, 1973.
H. H. E. Leipholz, Stability of Elastic Structures, Springer Verlag, Wien, 1978.
H. Ziegler, Principles of Structural Stability, Blaisdel Publishing Company, Waltham, 1968.
V. V. Bolotin, Dynamic Stability of Elastic Systems, Holden-Day, San Francisco, 1964.
W.-C. Xie, Dynamic Stability of Structures, Cambridge University Press, 2006.
Teaching method
- Weekly meetings between lecturer and students, for introduction and development of concepts, assessment of the progress made and presentation and analysis of proposed exercises.
Evaluation method
- Evaluation based on individual activity report, focusing on the presentation of results to the problems suggested.